A dining hall at a university is considering expanding their vegan menu. They conducted a survey of 150 college aged students found that 34 were following a vegan diet. Construct a 97% confidence interval for the proportion of college students at this university following a vegan diet. • Report the interval as a complete sentence in the context of the problem. • Would a 99% confidence interval be narrower or wider? Why? • Is it possible that the true proportion of vegans on college campuses is more than 15%? Why or why not?

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A dining hall at a university is considering expanding their vegan menu.
They conducted a survey of 150 college aged students found that 34
were following a vegan diet. Construct a 97% confidence interval for
the proportion of college students at this university following a vegan
diet.
•
Report the interval as a complete sentence in the context of the
problem.
• Would a 99% confidence interval be narrower or wider? Why?
• Is it possible that the true proportion of vegans on college campuses
is more than 15%? Why or why not?
Transcribed Image Text:A dining hall at a university is considering expanding their vegan menu. They conducted a survey of 150 college aged students found that 34 were following a vegan diet. Construct a 97% confidence interval for the proportion of college students at this university following a vegan diet. • Report the interval as a complete sentence in the context of the problem. • Would a 99% confidence interval be narrower or wider? Why? • Is it possible that the true proportion of vegans on college campuses is more than 15%? Why or why not?
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